Бакалавриат
2026/2027
Методы линейной алгебры
Статус:
Курс обязательный (Международная программа по экономике и финансам)
Кто читает:
Международный институт экономики и финансов
Где читается:
Международный институт экономики и финансов
Когда читается:
3-й курс, 1 семестр
Охват аудитории:
для своего кампуса
Преподаватели:
Букин Кирилл Александрович
Язык:
английский
Кредиты:
4
Контактные часы:
64
Course Syllabus
Abstract
This course is a continuation of Mathematical Methods for Economists which is taught for the second-year students. It lasts for one (fall) semester.
Learning Objectives
- Enable students to acquire further skills in the techniques of linear algebra,
- Prepare students for further courses in mathematics and related subjects like econometrics and actuarial science.
Expected Learning Outcomes
- find appropriate basis made of ordinary and generalized eigenvectors
- Apply classification of matrices and their properties, define spectral decomposition
- Apply concepts such as Gram-Schmidt process, orthogonality of vectors, orthonormal basis
- Apply techniques of diagonalization of symmetric matrices to classification of conic sections, quadratic forms classification
- Handle left, right inverses, then weak and strong generalized inverses
- Use theory of operator projections, primarily orthogonal
Course Contents
- Diagonalization, Jordan normal form and differential equations
- Inner products and orthogonality
- Orthogonal diagonalization and its applications
- Complex matrices and vector spaces
- Direct sums and projections
- Generalized inverses
Assessment Elements
- Home assignment 1
- Home assignment 2
- mock at the end of module 1
- Final examIn order to get a passing grade for the course, the student must sit (all parts) of the examination.
Interim Assessment
- 2026/2027 1st semester0.25 * mock at the end of module 1 + 0.55 * Final exam + 0.1 * Home assignment 1 + 0.1 * Home assignment 2
